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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2023 Number 8, Pages 71–77 (Mi ivm9910)

Brief communications

Optimal velocity distributions in the design of supercavitating hydrofoils

D. V. Maklakov, S. E. Gazizova, I. R. Kayumov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: In the paper, the proofs of theorems formulated in the work by S.E. Gazizova, D.V. Maklakov (LJM, 42 (8), 2021) are sketched out. The theorems serve as a basis for designing supercavitating hydrofoils that have a minimum drag coefficient for a given lift coefficient. Thus, the maximum lift-to-drag ratio is achieved.

Keywords: nonlinear functional, absolute minimum, Jensen's inequality.

UDC: 517.972:\,517.974

Received: 29.05.2023
Revised: 29.05.2023
Accepted: 29.05.2023

DOI: 10.26907/0021-3446-2023-8-71-77



© Steklov Math. Inst. of RAS, 2025